If an object 18 millimeters high is placed 12 millimeters from a diverging lens and the image is formed 4 millimeters in front of the lens what is the height of the image

Respuesta :

Answer:The height of the image is -6 mm.

Explanation;

Distance of the object form the lens = u = 12 mm

Distance of the image formed from the lens = v = 4 mm

Height of the object = 18 mm=[tex]h_o[/tex]

The magnification is given by :

[tex]M=-\frac{v}{u}=\frac{h_i}{h_o}[/tex]

[tex]h_i\& h_o[/tex]= Height of an image and object respectively.

[tex]M=-\frac{4 mm}{12 mm}=\frac{h_i}{18 mm}[/tex]

[tex]h_i=-6 mm[/tex]

The height of the image is -6 mm.The image formed is real and negative sign signifies that image is inverted.